Replicator-Mutator Equation — Evolutionary Dynamics

Replicator-Mutator Eq.

ẋᵢ = Σⱼ Qⱼᵢ fⱼ xⱼ − φ xᵢ
Mutation matrix Q couples evolution to error correction. Models viral quasispecies & language change.

Mutation rate μ: 0.02 Selection pressure s: 2.0 Number of types N: 8 Fitness landscape:

Mean fitness φ: —
Diversity H: —
Error threshold: μ* ≈ ln(s)/L